Please solve the question with explaination

The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear rst-order differential equation %=kUan (n where k is a constant of proportionality, T0) is the temperature of the object for t > 0, and Tm is the ambient temperaturethat is, the temperature of the medium around the object. The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modication of (l) is dT 3:60m) (m where k > 0 and Tm is a constant. Suppose that two cups A and B are lled with coffee at the same time. Initially, the temperature of the coffee is 120 F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee in cup A. After 30 min the temperature of the coffee in cup A is 90 F. If Tm :70\" F, then what is the temperature of the coffee in cup B after 30 min